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Finding the Fourth Proportional to 31,017.51, 46,530.55 and 9,952.60

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Solution

The fourth proportional to 31,017.51, 46,530.55 and 9,952.60 is: 14,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.51 : 46,530.55 = 9,952.60 : x
  2. Step 2: Convert to fraction form
    31,017.51/46,530.55 = 9,952.60/x
  3. Step 3: Cross multiply
    31,017.51x = 46,530.55 × 9,952.60
  4. Step 4: Simplify right side
    31,017.51x = 463,099,804.42
  5. Step 5: Solve for x
    x = 463,099,804.42/31,017.51
  6. Step 6: Final answer
    x = 14,930.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.